Stanley depth of complete intersection monomial ideals and upper-discrete partitions

YiHuang Shen

Stanley depth of complete intersection monomial ideals and upper-discrete partitions

Commutative Algebra 2008-12-22 v2

Authors: YiHuang Shen

Abstract

Let $I$ be an $m$ -generated complete intersection monomial ideal in $S=K[x_1,...,x_n]$ . We show that the Stanley depth of $I$ is $n-\floor{\frac{m}{2}}$ . We also study the upper-discrete structure for monomial ideals and prove that if $I$ is a squarefree monomial ideal minimally generated by 3 elements, then the Stanley depth of $I$ is $n-1$ .

Keywords

monomial ideals

Cite

@article{arxiv.0805.4461,
  title  = {Stanley depth of complete intersection monomial ideals and upper-discrete partitions},
  author = {YiHuang Shen},
  journal= {arXiv preprint arXiv:0805.4461},
  year   = {2008}
}

Comments

Updated version. 9 pages. To appear in Journal of Algebra

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